BrainyJanie88
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The table below shows some inputs and outputs of the invertible function fff with domain all real numbers.
x | 5 | 3 | 1 | 18 | 0 | 9
f(x) | 9 | -2 | -5 | -1 | 1 | 11
Find the following values:
f^-1 (-2)=
f^-1 (-1)=

Respuesta :

The value of [tex]f^{-1} (-2)[/tex] is 3

The value of [tex]f^{-1} (-1)[/tex] is 18

Explanation:

Given that the set of inputs and outputs of the invertible function f.

We need to determine the values of [tex]f^{-1} (-2)[/tex] and [tex]f^{-1} (-1)[/tex]

The value of [tex]f^{-1} (-2)[/tex]:

We need to determine the image of the y - value -2.

The image of the y - value (-2) is the corresponding x - value from the given table.

Thus, from the table, the image of -2 is 3.

Hence, the value of [tex]f^{-1} (-2)[/tex] is 3.

The value of [tex]f^{-1} (-1)[/tex]:

We need to determine the image of the y - value -1.

The image of the y - value (-1) is the corresponding x - value from the given table.

Thus, from the table, the image of -1 is 18

Hence, the value of [tex]f^{-1} (-1)[/tex] is 18.

tbrown2380

Answer: The correct answers are:

- f^{-1}(-2)=3

- f^{-1}(1)=0

Step-by-step explanation:

* Since f^{-1} receives inputs from f's range and maps them to their corresponding elements in f's domain, we can reverse the rows in the table as follows to obtain the inputs and outputs of f^{-1}.

* From this table we see that f^{-1}(-2)=3 and that f^{-1}(1)=0.

* Therefore, the correct answers are f^{-1}(-2)=3 and  f^{-1}(1)=0

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